For interacting particle systems where the number of particles is fixed at \(n\in \mathbb {N}\)  the narrow convergence \(\hat{\mathsf {P}}_t^n\rightarrow \delta _{\hat{\nu }_t}\)  is equivalent to propagation of chaos in the sense of Snitzman [1]}, and would imply narrow convergence of the \(k\) -particle marginals at time \(t\)  to \(\nu _t^{\otimes k}\) . However, in our setting, this implies convergence of the \(k\) -correlation functions, see [2]}.
